32133420320 has 96 divisors (see below), whose sum is σ = 77067447408. Its totient is φ = 12658802688.

The previous prime is 32133420317. The next prime is 32133420353. The reversal of 32133420320 is 2302433123.

It can be written as a sum of positive squares in 8 ways, for example, as 30027344656 + 2106075664 = 173284^2 + 45892^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10241792 + ... + 10244928.

Almost surely, 2^32133420320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38533723704).

32133420320 is an abundant number, since it is smaller than the sum of its proper divisors (44934027088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32133420320 is a wasteful number, since it uses less digits than its factorization.

32133420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 32133420320 its reverse (2302433123), we get a palindrome (34435853443).

The spelling of 32133420320 in words is "thirty-two billion, one hundred thirty-three million, four hundred twenty thousand, three hundred twenty".